This is my practice exam question and I have no answer for it nor do I know how to go about this....any help is greatly appreciated.
An open-topped cylindrical water reservoir has a volume of .
The material used for the bottom of the reservoir costs $5/ and the material used for the vertical portion costs $8/ .
Determine the radius and the height of the cylinder so that the cost is a minimum.
They also provide me with these equations:
Volume =
surface are =
You must have done or seen similar problems!
Once you have the expression for total cost, you differentiate it with respect to r and then solve dT/dr = 0. Get r, test the nature etc.
This might be an excellent time to go back and refer to your class notes and/or textbook.